The anti-Airbnb narrative I find more common (and compelling) is that they cause even less housing to be available in markets already suffering from low housing

The anti-Airbnb narrative I find more common (and compelling) is that they cause even less housing to be available in markets already suffering from low housing supply. New York is a prime example. Airbnb hosts buy up apartments that people could live in, and short-term rent them out to tourists instead.